Nash type inequalities for fractional powers of non-negative self-adjoint operators

Abstract : Assuming that a Nash type inequality is satisfied by a non-negative self-adjoint operator$A$, we prove a Nash type inequality for the fractional powers $A^{\alpha}$ of $A$. Under someassumptions, we give ultracontractivity bounds for the semigroup $(T_{t,{\alpha}})$ generated by $-A^{\alpha}$.
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Article dans une revue
Transaction of the American Mathematical Society., 2007, 359 (7), pp.3085-3097. 〈10.1090/S0002-9947-07-04020-2〉
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Soumis le : mercredi 10 mars 2004 - 09:16:18
Dernière modification le : jeudi 3 mai 2018 - 15:32:06
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Alexander Bendikov, Patrick Maheux. Nash type inequalities for fractional powers of non-negative self-adjoint operators. Transaction of the American Mathematical Society., 2007, 359 (7), pp.3085-3097. 〈10.1090/S0002-9947-07-04020-2〉. 〈hal-00001228〉

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